1.0E-5 is what percent of 0.00398 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 0.00398 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 0.00398, so we can write it down as 100%=0.00398.
4. We know, that x% equals 1.0E-5 of the output value, so we can write it down as x%=1.0E-5.
5. Now we have two simple equations:
1) 100%=0.00398
2) x%=1.0E-5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=0.00398/1.0E-5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.0E-5 is what percent of 0.00398

100%/x%=0.00398/1.0E-5
(100/x)*x=(0.00398/1.0E-5)*x       - we multiply both sides of the equation by x
100=398*x       - we divide both sides of the equation by (398) to get x
100/398=x
0.25125628140704=x
x=0.25125628140704

now we have:
1.0E-5 is 0.25125628140704% of 0.00398